167. 18146-!-item-!-187;#058&011731
In a survey of 248 people, 156 are married, 70 are self-employed, and 25 percent of those who are married are self-employed. If a person is to be randomly selected from those surveyed, what is the probability that the person selected will be self-employed but not married?
(A) (B) (C) (D) (E)
168. 18192-!-item-!-187;#058&011758
A stamping machine produces 100 gaskets per hour. When this machine works with a newer machine, the two machines, working simultaneously and independently at their respective constant rates, produce a total of 2,000 gaskets in 8 hours. How many gaskets does the newer machine produce per hour?
(A) 125 (B) 150 (C) 160 (D) 175 (E) 200
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B 【思路】
2000?(100?8)?150
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169. 18239-!-item-!-187;#058&011831 If [?] and n = 40, then S =
(A) 121 (B) 162 (C) 420 (D) 780 (E) 820
170. 18339-!-item-!-187;#058&011871
For any triangle T in the xy-coordinate plane, the center of T is defined to be the point whose x-coordinate is the average (arithmetic mean) of the x-coordinates of the vertices of T and whose y-coordinate is the average of the y-coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,2), what are the coordinates of the remaining vertex?
(A) (3,4) (B) (3,6) (C) (4,9) (D) (6,4) (E) (9,6)
------------------------------------------------------------------------------------------------------------------------------------ 【答案】C
【思路】就是說XY作表面上的任何一個三角形的中點的座標(x, y), 都是它三個頂點的x,y的坐 標平均值. 一個三角形,給出了其中兩個定點座標和三角形中點座標, 求另一個頂點座標.. 9-6-0=3
6-0-0=6
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171. 18385-!-item-!-187;#058&011883
Lynn lent Robert $10,000 at 6 percent simple annual interest to be repaid at the end of 3 years. What was the total amount that Robert had to pay to Lynn?
(A) $10,180 (B) $10,190 (C) $10,600 (D) $11,800 (E) $11,910
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】10000?3?10000?6%??11800
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172. 18647-!-item-!-187;#058&012110
Nathan took out a student loan for $1,200 at 10 percent annual interest, compounded annually. If he did not repay any of the loan or interest during the first 3 years, which of the following is closest to the amount of interest that he owed for the 3 years?
(A) $360 (B) $390 (C) $400 (D) $410 (E) $420
------------------------------------------------------------------------------------------------------------------------------------ 【答案】C
【思路】1200?0.1??1200?120??0.1??1320?132??0.1?397.2最接近400
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173. 18801-!-item-!-187;#058&012255
If 0 < m < 1, which of the following expressions has the least value?
(A) m (B) m^2 (C) m^3 (D) 2 - m
(E) (m + 1)^2
------------------------------------------------------------------------------------------------------------------------------------ 【答案】C
【思路】小數次方越乘越小
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174. 18908-!-item-!-187;#058&012310 [?]
If the tick marks on the number line shown are equally spaced, what is the value of ?
(A) 9 (B) 6 (C) 4 (D) 3 (E) 2
175. 19062-!-item-!-187;#058&012458
Five pieces of wood have an average (arithmetic mean) length of 124 centimeters and a median length of 140 centimeters. What is the maximum possible length, in centimeters, of the shortest piece of wood?
(A) 90 (B) 100 (C) 110 (D) 130 (E) 140
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B
【思路】假設五根木頭由低到高依序為A,B,C,D,E
A+B+C+D+E=124*5=620
C=140 所以 A+B+D+E=620-140=480
又C是中數，所以D+E>=140*2=280
故A+B<=480-280=200
所以A最大的可能為A=B=100
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176. 19324-!-item-!-187;#058&012548
In the xy-plane, line k has positive slope and x-intercept 4. If the area of the triangle formed by line k and the two axes is 12, what is the y-intercept of line k ?
(A) -6 (B) -4 (C) -3 (D) 3 (E) 6
------------------------------------------------------------------------------------------------------------------------------------ 【答案】A
底?高?122【思路】面積為12 底?4?24由於是正斜率 所以應在第四象限 -6
底?6------------------------------------------------------------------------------------------------------------------------------------
177. 19424-!-item-!-187;#058&012637
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 2 hours. How many hours does it take machines X and Y, working simultaneously, to produce 12k bottles?
(A) 8 (B) 12 (C) 15 (D) 18 (E) 24
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
KK?N??N?12K62N?3N【思路】設花N小時 ?126N?18------------------------------------------------------------------------------------------------------------------------------------
178. 19473-!-item-!-187;#058&012640 [?]
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
(A) $88.10 (B) $89.00 (C) $89.10 (D) $89.50 (E) $90.00
179. 19627-!-item-!-187;#058&012670
The number of years of service of the eight employees in a production department are 15, 10, 9, 17, 6, 4, 14, and 16. What is the range in the number of years of service of the eight employees?
(A) 10 (B) 11 (C) 12 (D) 13 (E) 14
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】RANGE=最大減最小=17-4=13
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180. 19674-!-item-!-187;#058&012673
Bob invested $2,000 in fund A and $1,000 in fund B. Over the next two years, the money in fund A earned a total interest of 12 percent for the two years combined and the money in fund B earned 30 percent annual interest compounded annually. Two years after Bob made these investments, Bob's investment in fund A was worth how much more than his investment in fund B ?
(A) $500 (B) $550 (C) $600 (D) $650 (E) $700
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B
【思路】2000?1.12?1000?1.3?550
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181. 19721-!-item-!-187;#058&012675
The distributor of cases of a certain beverage charges $60 per case for orders of 1 to 5 cases, $50 per case for orders of 6 to 20 cases, and $45 per case for orders of more than 20 cases. If the distributor filled three orders, one for 3 cases of the beverage, one for 11 cases of the beverage, and one for 30 cases of the beverage, what was the total amount the distributor charged for the orders?
(A) $1,960
2(B) $2,000 (C) $2,040 (D) $2,080 (E) $2,120
------------------------------------------------------------------------------------------------------------------------------------ 【答案】D
【思路】60?3?50?11?45?30?2080
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182. 19767-!-item-!-187;#058&012676
Two members of a club are to be selected to represent the club at a national meeting. If there are 190 different possible selections of the 2 members, how many members does the club have?
(A) 20 (B) 27 (C) 40 (D) 57 (E) 95
------------------------------------------------------------------------------------------------------------------------------------ 【答案】A
C2N?190N??N?1??190【思路】 設N個member 2?N?20??N?19??0N?20?負不合?------------------------------------------------------------------------------------------------------------------------------------
183. 19813-!-item-!-187;#058&012836
A certain company had an annual profit of $15 million in 1998 and an annual profit of $20 million in 1999. In 2000 the company had an annual loss of $5 million. What was the company's average (arithmetic mean) annual profit for the 3 years?
(A) $5 million (B) $10 million (C) $13 million (D) $20 million (E) $25 million
------------------------------------------------------------------------------------------------------------------------------------ 【答案】B 【思路】
15?20?5?10
3------------------------------------------------------------------------------------------------------------------------------------
184. 19859-!-item-!-187;#058&012871
For each hour at his part-time job, Jack is paid $0.05 per box for the first 100 boxes of apples packed and $0.07 for each additional box of apples packed. If Jack packed 125 boxes of apples in one hour, how much was he paid for that hour?
(A) $6.25 (B) $6.75 (C) $7.00 (D) $7.50 (E) $8.75
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